Properties

Label 216384.j
Number of curves $1$
Conductor $216384$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 216384.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.j1 216384ha1 \([0, -1, 0, -76897, 11678689]\) \(-3261064466/1917027\) \(-29561495161798656\) \([]\) \(1843200\) \(1.8630\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 216384.j do not have complex multiplication.

Modular form 216384.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - q^{13} + 3 q^{15} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display